The surface area of an oil spill gets 105% larger every day, represented by the function s (x) = (1.05) x - 1. On the first day, it covered an area of 31 square meters. Which function would be used to find the area of the oil spill on the 15th day?

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Mathematics

29 November, 14:14

The surface area of an oil spill gets 105% larger every day, represented by the function s (x) = (1.05) x - 1. On the first day, it covered an area of 31 square meters. Which function would be used to find the area of the oil spill on the 15th day?

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Luz Landry · Answer 1

The given scenario above is like a geometric sequence with r or common ratio being 1.05 and the first term being 31 square meters. The nth term of the sequence is calculated through the equation,

A15 = (A1) (r) ^ (n - 1)

Substituting,

A15 = (31) (1.05) ^ (15 - 1) = 61.3778 square meter

Therefore, the area covered by the spill after the 15th day is approximately 61.4 square meters.